With these ingredients and prescriptions it is straightforward to get the analytic results for all
8 non-vanishing finite remainders of the interferences between
\(\Big |\mathcal {A}^{[\text{1-loop}]}_{gggg} \Big \rangle \)  and \(\Big |\mathcal {A}^{[\text{tree}]}_{gggg} \Big \rangle \) 
in linear polarization basis.We used the library from the Package-X [1]} for one-loop integrals.
The finite remainder of unpolarized interferences in 4 dimensions is obtained by summing over these 8 quantities.
On the other hand, the finite remainder of the unpolarized interferences of the same scattering process
can be computed within CDR using a polarization sum formula like (REF ) for each of the
4 external gluons. We have checked analytically that both ways lead to the same finite expression. 
